Q: What are the prime factors of the number 70,925,056?

 A: 2, 277051

Why are those the prime factors of the number 70,925,056?

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 70,925,056

70,925,056
Factor Arrows
235,462,528
Factor Arrows
217,731,264
Factor Arrows
28,865,632
Factor Arrows
24,432,816
Factor Arrows
22,216,408
Factor Arrows
21,108,204
Factor Arrows
2554,102
Factor Arrows
2277,051

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, 277051

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 277,051 = 70,925,056

This can also be written as 28 x 277,0511 = 70,925,056

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


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