Q: What are the prime factors of the number 156,520,440?

 A: 2, 3, 5, 197, 2207

Why are those the prime factors of the number 156,520,440?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 156,520,440

156,520,440
Factor Arrows
278,260,220
Factor Arrows
239,130,110
Factor Arrows
219,565,055
Factor Arrows
36,521,685
Factor Arrows
32,173,895
Factor Arrows
5434,779
Factor Arrows
1972,207

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 197, 2207

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 197 x 2,207 = 156,520,440

This can also be written as 23 x 32 x 51 x 1971 x 2,2071 = 156,520,440

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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