Q: What are the prime factors of the number 70,102,176?

 A: 2, 3, 61, 11971

Why are those the prime factors of the number 70,102,176?

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 70,102,176

70,102,176
Factor Arrows
235,051,088
Factor Arrows
217,525,544
Factor Arrows
28,762,772
Factor Arrows
24,381,386
Factor Arrows
22,190,693
Factor Arrows
3730,231
Factor Arrows
6111,971

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, 61, 11971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 61 x 11,971 = 70,102,176

This can also be written as 25 x 31 x 611 x 11,9711 = 70,102,176

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


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